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Finding the Fourth Proportional to 3,135.90, 4,703.84 and 1,286.66

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Solution

The fourth proportional to 3,135.90, 4,703.84 and 1,286.66 is: 1,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.90 : 4,703.84 = 1,286.66 : x
  2. Step 2: Convert to fraction form
    3,135.90/4,703.84 = 1,286.66/x
  3. Step 3: Cross multiply
    3,135.90x = 4,703.84 × 1,286.66
  4. Step 4: Simplify right side
    3,135.90x = 6,052,242.77
  5. Step 5: Solve for x
    x = 6,052,242.77/3,135.90
  6. Step 6: Final answer
    x = 1,929.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.